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212224130300 = 2252721323413533
BaseRepresentation
bin1100010110100110001…
…0110011110011111100
3202021210021010211211002
43011221202303303330
511434113334132200
6241254443345432
721222053225600
oct3055142636374
9667707124732
10212224130300
1182004a97226
1235169522278
1317021a39380
14a3b37a3500
1557c1718bd5
hex31698b3cfc

212224130300 has 432 divisors, whose sum is σ = 616864393152. Its totient is φ = 62660505600.

The previous prime is 212224130249. The next prime is 212224130333. The reversal of 212224130300 is 3031422212.

212224130300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60067334 + ... + 60070866.

It is an arithmetic number, because the mean of its divisors is an integer number (1427926836).

Almost surely, 2212224130300 is an apocalyptic number.

212224130300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212224130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308432196576).

212224130300 is an abundant number, since it is smaller than the sum of its proper divisors (404640262852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212224130300 is a wasteful number, since it uses less digits than its factorization.

212224130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212224130300 its reverse (3031422212), we get a palindrome (215255552512).

The spelling of 212224130300 in words is "two hundred twelve billion, two hundred twenty-four million, one hundred thirty thousand, three hundred".